中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1464-1470.doi: 10.1088/1009-1963/15/7/014

• GENERAL • 上一篇    下一篇

Nonlinear dynamics in sliding processes:the single-particle case

袁晓平, 陈宏斌, 郑志刚   

  1. Department of Physics and the Beijing-HongKong-Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China
  • 收稿日期:2005-12-24 修回日期:2006-04-06 出版日期:2006-07-20 发布日期:2006-07-20
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos 70431002 and 10575010), the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200120), and the Teaching and Research Award Pro

Nonlinear dynamics in sliding processes:the single-particle case

Yuan Xiao-Ping (袁晓平), Chen Hong-Bin (陈宏斌), Zheng Zhi-Gang (郑志刚)   

  1. Department of Physics and the Beijing-HongKong-Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China
  • Received:2005-12-24 Revised:2006-04-06 Online:2006-07-20 Published:2006-07-20
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos 70431002 and 10575010), the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200120), and the Teaching and Research Award Pro

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摘要： Dynamical behaviours of the motion of particles in a periodic potential under a constant driving velocity by a spring at one end are explored. In the stationary case, the stable equilibrium position of the particle experiences an elasticity instability transition. When the driving velocity is nonzero, depending on the elasticity coefficient and the pulling velocity, the system exhibits complicated and interesting dynamics, such as periodic and chaotic motions. The results obtained here may shed light on studies of dynamical processes in sliding friction.

Abstract: Dynamical behaviours of the motion of particles in a periodic potential under a constant driving velocity by a spring at one end are explored. In the stationary case, the stable equilibrium position of the particle experiences an elasticity instability transition. When the driving velocity is nonzero, depending on the elasticity coefficient and the pulling velocity, the system exhibits complicated and interesting dynamics, such as periodic and chaotic motions. The results obtained here may shed light on studies of dynamical processes in sliding friction.

Key words: elasticity instability transition , Frenkel--Kontorova model

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a